Nonlinear Physics of Complex Systems: Current Status and Future Trends

F. H. Busse (auth.), Jürgen Parisi, Stefan C. Müller, Walter Zimmermann (eds.)3540617345, 9783540617341

The review articles in this book treat the overall nonlinear and complex behavior of nature from the viewpoint of such diverse research fields as fluid mechanics, condensed matter physics, biophysics, biochemistry, biology, and applied mathematics. Attention is focussed on a broad and comprehensive overview of recent developments and perspectives. Particular attention is given to the so-far unsolved problem of how to capture the mutual interplay between the microscopic and macroscopic dynamics that extend over various length and time scales. The book addresses researchers as well as graduate students.

---

Table of contents :
Bounds for properties of complex systems….Pages 1-9
Instability without instability?….Pages 10-22
Spontaneous density fluctuations in granular flow and traffic….Pages 23-34
Pattern selection as a nonlinear eigenvalue problem….Pages 35-53
Conditional probability distributions of a turbulent cascade….Pages 54-62
The couette-taylor flow: A paradigmatic system for instabilities, pattern formation and routes to chaos….Pages 63-72
Instabilities in smectic films….Pages 73-78
Why air bubbles in water glow so easily….Pages 79-97
Competition of growth patterns in directed growth….Pages 98-113
Asymptotic dynamics in directional solidification….Pages 114-125
Chemical waves in media with complex anisotropy….Pages 126-132
Experiments on excitation waves….Pages 133-148
Localized turbulence and cellular structures in systems with global coupling….Pages 149-165
Bifurcation theory of meandering spiral waves….Pages 166-178
Future trends in synergetics….Pages 179-193
Synergetic hardware concepts for self-organizing neural networks….Pages 194-212
Nonlinear time series analysis — Potentials and limitations….Pages 213-228
Time series analysis of scalar time-delay systems….Pages 229-238
Control of chaos by self-adapted delayed feedback….Pages 239-247
Mode analysis of the generalized rössler system….Pages 248-255
Combinatorial optimization with coupled chemical reaction cells….Pages 256-265
On superimposed dynamical multifractals….Pages 266-280
The thermodynamics of random walks with applications to fractals and chaos….Pages 281-293
Brownian rectifiers: How to convert brownian motion into directed transport….Pages 294-308
Stochastics of pattern formation….Pages 309-324
Dynamics in superconducting arrays of Josephson junctions….Pages 325-334
Scanning probe microscopy of self-organized structure formation in semiconductor systems….Pages 335-340
Impurity breakdown induced current filaments in n-GaAs….Pages 341-352
Lattice-gas approach to collective transport phenomena in biological pattern formation….Pages 353-362
Simulation of chemotaxis-equations in two space dimensions….Pages 363-371
Dynamic instability and oscillations of microtubules….Pages 372-388